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Finding the Fourth Proportional to 3,831, 5,286.78 and 2,175

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Solution

The fourth proportional to 3,831, 5,286.78 and 2,175 is: 3,001.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831 : 5,286.78 = 2,175 : x
  2. Step 2: Convert to fraction form
    3,831/5,286.78 = 2,175/x
  3. Step 3: Cross multiply
    3,831x = 5,286.78 × 2,175
  4. Step 4: Simplify right side
    3,831x = 11,498,746.50
  5. Step 5: Solve for x
    x = 11,498,746.50/3,831
  6. Step 6: Final answer
    x = 3,001.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.